Min has 3 times as many cookies as Penelope. The total number of Min's and Penelope's cookies is 6 times of Nicole's. Min and Penelope have 110 cookies more than Nicole's. How many more cookies does Min have than Penelope?
| Min |
Penelope |
Nicole |
| 3x3 |
1x3 |
|
| 6x2 |
1x2 |
| 9 u |
3 u |
2 u |
The total number of cookies that Min and Penelope have is repeated. Make the total number of cookies that Min and Penelope have the same. LCM of 4 and 6 is 12.
Total number of cookies that Min and Penelope have
= 9 u + 3 u
= 12 u
Number of more cookies that Min and Penelope have than Nicole
= 12 u - 2 u
= 10 u
10 u = 110
1 u = 110 ÷ 10 = 11
Number of more cookies that Min has than Penelope
= 9 u - 3 u
= 6 u
= 6 x 11
= 66
Answer(s): 66
